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3 years ago

Solving literal equations Solve equation for y -x + 5y = 10

Mathematics

1 answer:

Bogdan [553]3 years ago

4 0

Answer: y = 10 + x / 5

Step-by-step explanation:

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What is the constant of proportionality in the table below

maksim [4K]

Answer:

1/3

Step-by-step explanation:

Y/x=k that is the equation for constant of proportionality

2/6=k

1/3=k

5 0

3 years ago

The area of an isosoles trapezoid is 45cm squared, and it's height is 5cm. Find the perimeter if the length of a leg is 2/3 of t

Schach [20]

Answer:

Perimeter = 42 cm.

Step-by-step explanation:

The 2 legs are equal in length as it is an isosceles trapezoid.

Area of trapezoid = (h/2)(a + b) where a and b are the parallel bases.

(5/2) (a + b) = 45

a + b = 45 * 2/5 = 18 cm.

We are given that the length of a leg (L) is 2/3 * sum of the bases, so:

L = 2/3(a + b)

= 2/3 * 18

= 12 cm.

The perimeter = a + b + 2L

= 18 * 2*12

= 42 cm.

3 0

2 years ago

Find the polynomial of minimum degree, with real coefficients, zeros at x=4±2⋅i and x=−8, and y-intercept at −480. Write your an

valkas [14]

Answer:

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

Step-by-step explanation:

According to the statement, we appreciate that polynomial pass through the following points:

(i) $(4 + 2\,i,0)$ , (ii) $(4 - 2\,i, 0)$ , (iii) $(-8, 0)$ , (iv) $(0, -480)$

From Algebra we know that any n-th grade polynomial can be constructed by knowing n+1 different points. Hence, the polynomial of minimum degree is a quartic function. The polynomial has the following form:

$p(x) = (x-4-2\,i)\cdot (x-4+2\,i)\cdot (x+8)\cdot (x-r_{1})$

We proceed to expand the expression until standard form is obtained:

$p(x) = (x^{2}-4\cdot x-2\,i\cdot x-4\cdot x +16+8\,i+2\,i\cdot x-8\,i+4)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{2}-8\cdot x+20)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{3}-8\cdot x^{2}+20\cdot x +8\cdot x^{2}-64\cdot x+160)\cdot (x-r_{1})$

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-r_{1})$

If we know that $p (0) = -480$ , then:

$-480=160\cdot (-r_{1})$

$-160\cdot r_{1} = -480$

$r_{1} = 3$

Then, the polynomial is:

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-3)$

$p(x) = x^{4}-44\cdot x^{2}+160\cdot x-3\cdot x^{3}+132\cdot x -480$

$p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

5 0

3 years ago

If u understand this May u please help me

Sladkaya [172]

4 is the y axis so from the y axis you go up 1 and over right 6!

4 0

3 years ago

What percent is equivalent to 12/25 A: 12% B: 13% C: 24% D: 48%

andrezito [222]

Answer:

48 percent!

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers